Solvable Complemented Lie Algebras
classification
🧮 math.RA
math.GRmath.RT
keywords
algebrascomplementedsolvablesubalgebrasabeliancharacterisationclassclosure
read the original abstract
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition. The class of such algebras is shown to be a formation whose residual is the ideal closure of the prefrattini subalgebras.
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